Comparison of structured and unstructured formulations for compositional reservoir simulation

Detalhes bibliográficos
Ano de defesa: 2025
Autor(a) principal: Farias, Marcelo Menezes
Orientador(a): Marcondes, Francisco
Banca de defesa: Não Informado pela instituição
Tipo de documento: Dissertação
Tipo de acesso: Acesso aberto
Idioma: eng
Instituição de defesa: Não Informado pela instituição
Programa de Pós-Graduação: Não Informado pela instituição
Departamento: Não Informado pela instituição
País: Não Informado pela instituição
Área do conhecimento CNPq:
Link de acesso: http://repositorio.ufc.br/handle/riufc/79584
Resumo: The main goal of the present work is to compare Corner Point and unstructured grids based on Element-based Finite Volume Method (EbFVM) applied to compositional multiphase/multi- component flow in petroleum reservoirs. Unlike the reservoir production, the numerical solution is dependent on the grid and numerical approach used to discretize the material balance equations. Commercial simulators, which use structured Corner Point grids, usually neglect the cross terms that arise from the transformation of equations from the physical to the computational plane. This approximation may lead to substantial errors in mass flux calculation due to the cross terms influence when highly non-orthogonal grids are used. Another important approach to discretize the reservoir is the use of unstructured grids in conjunction with the finite-volume method. This methodology is well known as EbFVM and it is a locally conservative method. For the aforementioned reasons, the EbFVM is expected to more flexibly handle complex geometries and provide greater accuracy. However, EbFVM is also computationally more expensive than Corner Point grids due the large stencil of the Jacobian matrix. In the present work, we are going to implement two types of grids in an in-house compositional simulator developed at the University of Texas at Austin known as UTCOMP. The Corner Point grids are going to be generated using a commercial simulator. Although the EbFVM 3D grids can be composed of hexahedrons, tetrahedrons, prisms, and pyramids only hexahedrons and tetrahedrons are going to be used to match the hexahedrons of the Corner Point grids. In order to use the corner point grid to create the grid for the EbFVM, the Corner Point must be preprocessed to be adapted to the EbFVM, eliminating the hanging nodes. The comparison of the results of the two grid types will be presented in terms of oil and gas production, saturation fields, and CPU time. The EbFVM presented itself as a viable alternative to the traditional Corner Point geometries. It is observed that the EbFVM is capable of achieving an approximate numerical solution compared to traditional Corner Point methods with a much coarser grid and lower computational cost.
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spelling Farias, Marcelo MenezesMarcondes, Francisco2025-01-29T19:39:28Z2025-01-29T19:39:28Z2025FARIAS, Marcelo Menezes. Comparison of structured and unstructured formulations for compositional reservoir simulation. 2020. 128 f. Dissertação (Mestrado em Engenharia Química) – Centro de Tecnologia, Universidade Federal do Ceará, Fortaleza, 2020.http://repositorio.ufc.br/handle/riufc/79584The main goal of the present work is to compare Corner Point and unstructured grids based on Element-based Finite Volume Method (EbFVM) applied to compositional multiphase/multi- component flow in petroleum reservoirs. Unlike the reservoir production, the numerical solution is dependent on the grid and numerical approach used to discretize the material balance equations. Commercial simulators, which use structured Corner Point grids, usually neglect the cross terms that arise from the transformation of equations from the physical to the computational plane. This approximation may lead to substantial errors in mass flux calculation due to the cross terms influence when highly non-orthogonal grids are used. Another important approach to discretize the reservoir is the use of unstructured grids in conjunction with the finite-volume method. This methodology is well known as EbFVM and it is a locally conservative method. For the aforementioned reasons, the EbFVM is expected to more flexibly handle complex geometries and provide greater accuracy. However, EbFVM is also computationally more expensive than Corner Point grids due the large stencil of the Jacobian matrix. In the present work, we are going to implement two types of grids in an in-house compositional simulator developed at the University of Texas at Austin known as UTCOMP. The Corner Point grids are going to be generated using a commercial simulator. Although the EbFVM 3D grids can be composed of hexahedrons, tetrahedrons, prisms, and pyramids only hexahedrons and tetrahedrons are going to be used to match the hexahedrons of the Corner Point grids. In order to use the corner point grid to create the grid for the EbFVM, the Corner Point must be preprocessed to be adapted to the EbFVM, eliminating the hanging nodes. The comparison of the results of the two grid types will be presented in terms of oil and gas production, saturation fields, and CPU time. The EbFVM presented itself as a viable alternative to the traditional Corner Point geometries. It is observed that the EbFVM is capable of achieving an approximate numerical solution compared to traditional Corner Point methods with a much coarser grid and lower computational cost.O principal objetivo do presente trabalho é comparar malhas estruturadas do tipo Corner Point e malhas não estruturadas baseadas na formulação Element-based Finite Volume Method (EbFVM) para resolver o fluxo composicional multifásico em reservatórios de petróleo. Diferente da produção do reservatório, a solução numérica é dependente da malha e abordagem numérica utilizada para discretizar a equação de balanço material. Simuladores comerciais, os quais utilizam Corner Point, geralmente negligenciam os termos cruzados que surgem da transformação das equações do plano físico para o computacional. Essa aproximação pode levar a erros substanciais no cálculo do fluxo máximo devido a influência dos termos cruzados em malhas não- ortogonais. Outra abordagem utilizada para discretizar o reservatório é a utilização de malhas não-estruturadas com o método de volumes finitos. Essa metodologia é conhecida como EbFVM e é um método localmente conservativo. Por estas razões, é esperado que o EbFVM seja mais preciso e mais flexível para lidar com geometrias complexas. No entanto, o EbFVM também é mais computacionalmente custoso comparado ao Corner Point devido ao tamanho da matriz Jacobiana. No presente trabalho, os dois tipos de malha serão implementados em um simulador in-house conhecido com o UTCOMP. As malhas do Corner Point serão geradas em um simulador comercial. Apesar das malhas 3D utilizadas no EbFVM serem compostas por hexaedros, tetraedos, primas e pirâmides, apenas hexaedros serão usados para a malha ser equivalente à do Corner Point. Para utilizar as malhas do Corner Point no EbFVM, elas devem ser pré- processadas eliminando os possíveis hanging nodes. A comparação dos resultados para os dois tipos de malha será apresentada em termos de produção de óleo e gás, campos de saturação e tempo de CPU. O EbFVM se apresentou como uma alternativa viável em comparação as malhas Corner Point. Foi observado que, com uma malha mais grosseira, o EbFVM é capaz de obter uma solução numérica aproximada à solução obtida por métodos tradicionais que utilizam malhas Corner Point.Este documento está disponível online com base na Portaria no 348, de 08 de dezembro de 2022, disponível em: https://biblioteca.ufc.br/wp-content/uploads/2022/12/portaria348-2022.pdf, que autoriza a digitalização e a disponibilização no Repositório Institucional (RI) da coleção retrospectiva de TCC, dissertações e teses da UFC, sem o termo de anuência prévia dos autores. Em caso de trabalhos com pedidos de patente e/ou de embargo, cabe, exclusivamente, ao autor(a) solicitar a restrição de acesso ou retirada de seu trabalho do RI, mediante apresentação de documento comprobatório à Direção do Sistema de Bibliotecas.Comparison of structured and unstructured formulations for compositional reservoir simulationinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/masterThesisUTCOMPEbFVMMalhas Corner PointMalhas não-estruturadasSimulação composicionalGeração de malhas numéricas (Análise numérica)ReservatóriosUTCOMPEbFVMMalhas Corner PointUnstructured MeshesCompositional simulationGeneration of numerical meshes (Numerical analysis)ReservoirsCNPQ::ENGENHARIAS::ENGENHARIA QUIMICAinfo:eu-repo/semantics/openAccessengreponame:Repositório Institucional da Universidade Federal do Ceará (UFC)instname:Universidade Federal do Ceará (UFC)instacron:UFChttps://orcid.org/0009-0008-8236-8058http://lattes.cnpq.br/4857272005774035http://lattes.cnpq.br/26631819610836572025ORIGINAL2020_dis_mmfarias.pdf2020_dis_mmfarias.pdfapplication/pdf10095876http://repositorio.ufc.br/bitstream/riufc/79584/1/2020_dis_mmfarias.pdfdb76478ab0dd9402ae9846ef3c892999MD51LICENSElicense.txtlicense.txttext/plain; charset=utf-81748http://repositorio.ufc.br/bitstream/riufc/79584/2/license.txt8a4605be74aa9ea9d79846c1fba20a33MD52riufc/795842025-01-29 16:39:31.073oai:repositorio.ufc.br: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Repositório InstitucionalPUBhttp://www.repositorio.ufc.br/ri-oai/requestbu@ufc.br || repositorio@ufc.bropendoar:2025-01-29T19:39:31Repositório Institucional da Universidade Federal do Ceará (UFC) - Universidade Federal do Ceará (UFC)false
dc.title.pt_BR.fl_str_mv Comparison of structured and unstructured formulations for compositional reservoir simulation
title Comparison of structured and unstructured formulations for compositional reservoir simulation
spellingShingle Comparison of structured and unstructured formulations for compositional reservoir simulation
Farias, Marcelo Menezes
CNPQ::ENGENHARIAS::ENGENHARIA QUIMICA
UTCOMP
EbFVM
Malhas Corner Point
Malhas não-estruturadas
Simulação composicional
Geração de malhas numéricas (Análise numérica)
Reservatórios
UTCOMP
EbFVM
Malhas Corner Point
Unstructured Meshes
Compositional simulation
Generation of numerical meshes (Numerical analysis)
Reservoirs
title_short Comparison of structured and unstructured formulations for compositional reservoir simulation
title_full Comparison of structured and unstructured formulations for compositional reservoir simulation
title_fullStr Comparison of structured and unstructured formulations for compositional reservoir simulation
title_full_unstemmed Comparison of structured and unstructured formulations for compositional reservoir simulation
title_sort Comparison of structured and unstructured formulations for compositional reservoir simulation
author Farias, Marcelo Menezes
author_facet Farias, Marcelo Menezes
author_role author
dc.contributor.author.fl_str_mv Farias, Marcelo Menezes
dc.contributor.advisor1.fl_str_mv Marcondes, Francisco
contributor_str_mv Marcondes, Francisco
dc.subject.cnpq.fl_str_mv CNPQ::ENGENHARIAS::ENGENHARIA QUIMICA
topic CNPQ::ENGENHARIAS::ENGENHARIA QUIMICA
UTCOMP
EbFVM
Malhas Corner Point
Malhas não-estruturadas
Simulação composicional
Geração de malhas numéricas (Análise numérica)
Reservatórios
UTCOMP
EbFVM
Malhas Corner Point
Unstructured Meshes
Compositional simulation
Generation of numerical meshes (Numerical analysis)
Reservoirs
dc.subject.ptbr.pt_BR.fl_str_mv UTCOMP
EbFVM
Malhas Corner Point
Malhas não-estruturadas
Simulação composicional
Geração de malhas numéricas (Análise numérica)
Reservatórios
dc.subject.en.pt_BR.fl_str_mv UTCOMP
EbFVM
Malhas Corner Point
Unstructured Meshes
Compositional simulation
Generation of numerical meshes (Numerical analysis)
Reservoirs
description The main goal of the present work is to compare Corner Point and unstructured grids based on Element-based Finite Volume Method (EbFVM) applied to compositional multiphase/multi- component flow in petroleum reservoirs. Unlike the reservoir production, the numerical solution is dependent on the grid and numerical approach used to discretize the material balance equations. Commercial simulators, which use structured Corner Point grids, usually neglect the cross terms that arise from the transformation of equations from the physical to the computational plane. This approximation may lead to substantial errors in mass flux calculation due to the cross terms influence when highly non-orthogonal grids are used. Another important approach to discretize the reservoir is the use of unstructured grids in conjunction with the finite-volume method. This methodology is well known as EbFVM and it is a locally conservative method. For the aforementioned reasons, the EbFVM is expected to more flexibly handle complex geometries and provide greater accuracy. However, EbFVM is also computationally more expensive than Corner Point grids due the large stencil of the Jacobian matrix. In the present work, we are going to implement two types of grids in an in-house compositional simulator developed at the University of Texas at Austin known as UTCOMP. The Corner Point grids are going to be generated using a commercial simulator. Although the EbFVM 3D grids can be composed of hexahedrons, tetrahedrons, prisms, and pyramids only hexahedrons and tetrahedrons are going to be used to match the hexahedrons of the Corner Point grids. In order to use the corner point grid to create the grid for the EbFVM, the Corner Point must be preprocessed to be adapted to the EbFVM, eliminating the hanging nodes. The comparison of the results of the two grid types will be presented in terms of oil and gas production, saturation fields, and CPU time. The EbFVM presented itself as a viable alternative to the traditional Corner Point geometries. It is observed that the EbFVM is capable of achieving an approximate numerical solution compared to traditional Corner Point methods with a much coarser grid and lower computational cost.
publishDate 2025
dc.date.accessioned.fl_str_mv 2025-01-29T19:39:28Z
dc.date.available.fl_str_mv 2025-01-29T19:39:28Z
dc.date.issued.fl_str_mv 2025
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/masterThesis
format masterThesis
status_str publishedVersion
dc.identifier.citation.fl_str_mv FARIAS, Marcelo Menezes. Comparison of structured and unstructured formulations for compositional reservoir simulation. 2020. 128 f. Dissertação (Mestrado em Engenharia Química) – Centro de Tecnologia, Universidade Federal do Ceará, Fortaleza, 2020.
dc.identifier.uri.fl_str_mv http://repositorio.ufc.br/handle/riufc/79584
identifier_str_mv FARIAS, Marcelo Menezes. Comparison of structured and unstructured formulations for compositional reservoir simulation. 2020. 128 f. Dissertação (Mestrado em Engenharia Química) – Centro de Tecnologia, Universidade Federal do Ceará, Fortaleza, 2020.
url http://repositorio.ufc.br/handle/riufc/79584
dc.language.iso.fl_str_mv eng
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dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
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reponame_str Repositório Institucional da Universidade Federal do Ceará (UFC)
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